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Finding the Fourth Proportional to 252,047.47, 347,829.52 and 137,331.53

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Solution

The fourth proportional to 252,047.47, 347,829.52 and 137,331.53 is: 189,519.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,047.47 : 347,829.52 = 137,331.53 : x
  2. Step 2: Convert to fraction form
    252,047.47/347,829.52 = 137,331.53/x
  3. Step 3: Cross multiply
    252,047.47x = 347,829.52 × 137,331.53
  4. Step 4: Simplify right side
    252,047.47x = 47,767,960,160.77
  5. Step 5: Solve for x
    x = 47,767,960,160.77/252,047.47
  6. Step 6: Final answer
    x = 189,519.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.